# Yoshihiko Matsumoto

Updated on May 28, 2018

• May 13, 2018 — A preprint entitled “A construction of Poincaré-Einstein metrics of cohomogeneity one on the ball” is uploaded on arXiv. Pedersen's construction (1986) of Poincaré-Einstein metrics on the 4-ball with the Berger spheres at infinity is generalized to higher dimensions.
• Apr. 10, 2018 — I added a survey article on Einstein ACH metrics on arXiv. This is a contribution to the proceedings of the KSCV conference, in which I gave a talk in July 2016. Several open problems are discussed.
• Jan. 16, 2018 — Taiji Marugame kindly pointed out some misprints and computational errors in my thesis. (They are all minor, and the main content of the thesis needs no modification.)
• Jan. 16, 2018 — We organized the workshop “Geometric Analysis in Geometry and Topology 2017” on December 19–22 last year (my “Foundations and developments of Poincaré-Einstein metrics” was a part of it). The notes offered by the lecturers are made public here.
• Jan. 9, 2018 — The notes prepared for the lecture “Foundations and developments of Poincaré-Einstein metrics”, which I gave in December last year in Tokyo, is now available.
• Sep. 1, 2017 — I arrived at Stanford University as a two-year visitor.
• Nov. 15, 2016 — The paper “Variation of total Q-prime curvature on CR manifolds” is accepted by Advances in Mathematics for publication.
• Oct. 28, 2016 — I'll be visiting Stanford University for two years, starting from September next year. Great thanks to the people concerned, especially to the math department members of Osaka University.
• Aug. 10, 2016The slides and related information (in Japanese) for the public lecture “Geometry of the Hyperbolic Plane” have been uploaded.
• May 10, 2016 — The slides (in Japanese) for the talk yesterday at the department colloquium have been uploaded.
• Apr. 1, 2016 — Arrived at Osaka University.
• Mar. 8, 2016 — A preprint entitled “Deformation of Einstein metrics and $L^2$ cohomology on strictly pseudoconvex domains” is uploaded to arXiv.
• Feb. 3, 2016 — I'll arrive at Osaka University this April as an assistant professor.
• Jan. 16, 2016 — The paper “GJMS operators, $Q$-curvature, and obstruction tensor of partially integrable CR manifolds” is accepted by Differential Geometry and its Applications for publication.
• Oct. 12, 2015 — A new preprint, regarding a new global CR invariant called the total Q-prime curvature, is uploaded to arXiv.
• July 1, 2015 — The seven-month stay at Paris finished and I came back to Tokyo.